2191515648 has 112 divisors (see below), whose sum is σ = 6679021440. Its totient is φ = 626098176.

The previous prime is 2191515563. The next prime is 2191515719. The reversal of 2191515648 is 8465151912.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×2191515648³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165663 + ... + 178401.

It is an arithmetic number, because the mean of its divisors is an integer number (59634120).

Almost surely, 2^2191515648 is an apocalyptic number.

2191515648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339510720).

2191515648 is an abundant number, since it is smaller than the sum of its proper divisors (4487505792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2191515648 is an equidigital number, since it uses as much as digits as its factorization.

2191515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12775 (or 12751 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 2191515648 is about 46813.6267341038. The cubic root of 2191515648 is about 1298.9173724156.

The spelling of 2191515648 in words is "two billion, one hundred ninety-one million, five hundred fifteen thousand, six hundred forty-eight".